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人気のある微分積分 >

integral from 0 to 2 of (5x^3-6x-2)

解

\int_{0}^{2} (5 x^{3} - 6 x - 2) d x

解

4

解答ステップ

\int_{0}^{2} 5 x^{3} - 6 x - 2 d x

総和規則を適用する:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{2} 5 x^{3} d x - \int_{0}^{2} 6 x d x - \int_{0}^{2} 2 d x

\int_{0}^{2} 5 x^{3} d x = 20

\int_{0}^{2} 6 x d x = 12

\int_{0}^{2} 2 d x = 4

= 20 - 12 - 4

簡素化

= 4

グラフ

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